Question

the cost for 10 ounces of organiz bluebermes is $2.70. which equation can be used to determine x, the cost, in dollars, for 30 ounces of organic bluebernes?
\\( \frac { 10 } { 2.7 } = \frac { 30 } { x } \\)
\\( \frac { 2.7 } { 10 } = \frac { x } { 30 } \\)
\\( \frac { 2.7 } { 30 } = \frac { x } { 10 } \\)
\\( \frac { x } { 10 } = \frac { 2.7 } { 30 } \\)

Explanation:

Step1: Set up proportion

Since cost and ounces are proportional, we have $\frac{\text{cost}_1}{\text{ounces}_1}=\frac{\text{cost}_2}{\text{ounces}_2}$. Here, $\text{cost}_1 = 2.7$, $\text{ounces}_1=10$, $\text{cost}_2=x$, $\text{ounces}_2 = 30$.

Step2: Substitute values

Substituting into the proportion gives $\frac{2.7}{10}=\frac{x}{30}$.

Answer:

$\frac{2.7}{10}=\frac{x}{30}$ (the second option from the left)